{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:MKB5ATBHNDFWQY5P3C27TXIQFW","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"cf4854024a691f5a8adc0918ed998293b0d6289b5a1f8155ae4da118b5044a53","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-11-30T20:53:58Z","title_canon_sha256":"971ffcc1cfbaaa4149f73f7e6eb973eef8adfa52032218a94ea06298e47ea48f"},"schema_version":"1.0","source":{"id":"1412.0281","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.0281","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"arxiv_version","alias_value":"1412.0281v3","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.0281","created_at":"2026-05-18T00:50:43Z"},{"alias_kind":"pith_short_12","alias_value":"MKB5ATBHNDFW","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"MKB5ATBHNDFWQY5P","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"MKB5ATBH","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:ba5323a4d2748b7e7da1c75691e9200ec241201c693ae52650211b438d173ea4","target":"graph","created_at":"2026-05-18T00:50:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"By means of Fra\\\"{i}ss\\'{e} theory for metric structures developed by Ben Yaacov, we show that there exists a separable $1$-exact operator system $\\mathbb{GS}$---which we call the Gurarij operator system---of almost universal disposition. This means that whenever $E\\subset F$ are finite-dimensional $1$-exact operator systems, $\\phi :E\\rightarrow \\mathbb{GS}$ is a unital complete isometry, and $\\varepsilon >0$, there is a linear extension $\\widehat{\\phi }:F\\rightarrow \\mathbb{GS}$ of $\\phi $ such that $||\\widehat{\\phi }||_{cb}{}||\\widehat{\\phi }^{-1}||_{cb}\\leq 1+\\varepsilon $. Such an operator","authors_text":"Martino Lupini","cross_cats":["math.LO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-11-30T20:53:58Z","title":"A universal nuclear operator system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.0281","kind":"arxiv","version":3},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:06fbb28022e661009e0e0c4e310f5be75ad1be739ff0599981655979534b3990","target":"record","created_at":"2026-05-18T00:50:43Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"cf4854024a691f5a8adc0918ed998293b0d6289b5a1f8155ae4da118b5044a53","cross_cats_sorted":["math.LO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.OA","submitted_at":"2014-11-30T20:53:58Z","title_canon_sha256":"971ffcc1cfbaaa4149f73f7e6eb973eef8adfa52032218a94ea06298e47ea48f"},"schema_version":"1.0","source":{"id":"1412.0281","kind":"arxiv","version":3}},"canonical_sha256":"6283d04c2768cb6863afd8b5f9dd102da0f3e5adf91bfe654cf6801f2ba032d5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6283d04c2768cb6863afd8b5f9dd102da0f3e5adf91bfe654cf6801f2ba032d5","first_computed_at":"2026-05-18T00:50:43.211114Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:43.211114Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ns8LQH/CDbBHcvRA5pMtz5vjTZSkFoaioM8KytoshOys/aOtGwYhg0Ww7eFj+PIzrlW3eEuy73j6PrNEjAXXDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:43.211721Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.0281","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:06fbb28022e661009e0e0c4e310f5be75ad1be739ff0599981655979534b3990","sha256:ba5323a4d2748b7e7da1c75691e9200ec241201c693ae52650211b438d173ea4"],"state_sha256":"b2cd7bf5c8aac8a5f3b76c9b3c3ab816abdc8166685bffb02fe0b69ceb4f1ba4"}